Non-Archimedean normal operators

We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.

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Bibliographic Details
Published in:Journal of mathematical physics 2010-02, Vol.51 (2), p.023526-023526-15
Main Author: Kochubei, Anatoly N.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Linear equations
Mathematical functions
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
Vector space
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Description
Summary:We describe some classes of linear operators on Banach spaces over non-Archimedean fields, which admit orthogonal spectral decompositions. Several examples are given.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3293980